{"id":84496,"date":"2025-01-30T15:54:56","date_gmt":"2025-01-30T14:54:56","guid":{"rendered":"https:\/\/wfa.uwr.edu.pl\/?page_id=84496"},"modified":"2025-01-30T15:55:01","modified_gmt":"2025-01-30T14:55:01","slug":"division-of-mathematical-methods-in-physics","status":"publish","type":"page","link":"https:\/\/wfa.uwr.edu.pl\/en\/institute-of-theoretical-physics\/division-of-mathematical-methods-in-physics\/","title":{"rendered":"Division of Mathematical Methods in Physics"},"content":{"rendered":"\n<div class=\"wp-block-ugb-container ugb-container blok_nowa_podstrona ugb-8dda971 ugb-container--v2 ugb-container--design-plain ugb-main-block\"><div class=\"ugb-inner-block\"><div class=\"ugb-block-content\"><div class=\"ugb-container__wrapper ugb-8dda971-wrapper\"><div class=\"ugb-container__side\"><div class=\"ugb-container__content-wrapper ugb-8dda971-content-wrapper\">\n<div class=\"wp-block-columns bs-news-page is-layout-flex wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column bs-kontakt-photo is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2023\/02\/Biblioteka-Uniwersytecka-1024x683.jpg\" alt=\"Biblioteka Uniwersytecka\" class=\"wp-image-45591\" srcset=\"https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2023\/02\/Biblioteka-Uniwersytecka-1024x683.jpg 1024w, https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2023\/02\/Biblioteka-Uniwersytecka-300x200.jpg 300w, https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2023\/02\/Biblioteka-Uniwersytecka-768x512.jpg 768w, https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2023\/02\/Biblioteka-Uniwersytecka-24x16.jpg 24w, https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2023\/02\/Biblioteka-Uniwersytecka-36x24.jpg 36w, https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2023\/02\/Biblioteka-Uniwersytecka-48x32.jpg 48w, https:\/\/wfa.uwr.edu.pl\/wp-content\/uploads\/sites\/216\/2023\/02\/Biblioteka-Uniwersytecka.jpg 1320w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column bs-contact-right-column is-layout-flow wp-block-column-is-layout-flow\">\n<div class=\"wp-block-bonasoft-modular-breadcrumbs-block\"><div class=\"bs_add_breadcrumb_trail\"><\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-black-color has-css-opacity has-black-background-color has-background is-style-wide bs-border-kontakt\"\/>\n\n\n\n<h1 class=\"wp-block-heading bs-naglowek-podstrony\"><strong>Division of Mathematical Methods in Physics<\/strong><\/h1>\n\n\n\n<h3 class=\"wp-block-heading\">Staff<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/wfa.uwr.edu.pl\/lista-pracownikow\/?omegaId=UWRcbada354bea9419c94c3e5ce590c1466\">dr hab. Piotr \u0141ugiewicz, prof. UWr<\/a> (<em>Head of division<\/em>)<\/li>\n\n\n\n<li><a href=\"https:\/\/wfa.uwr.edu.pl\/lista-pracownikow\/?omegaId=UWR9eddeaa3321e46dcb99c23be52c2583b\">dr in\u017c. Artur Barasi\u0144ski<\/a><\/li>\n\n\n\n<li>dr Wojciech Ceg\u0142a<em>\u00a0(retired employee)<\/em><\/li>\n\n\n\n<li>dr hab. Lech Jak\u00f3bczyk, prof. UWr<em>\u00a0(retired employee)<\/em><\/li>\n\n\n\n<li>dr hab. Marek Mozrzymas, prof. UWr<\/li>\n\n\n\n<li><a href=\"https:\/\/wfa.uwr.edu.pl\/lista-pracownikow\/?omegaId=UWRc2e7754de84e4f3f939f6c7c3b4e0228\">mgr Valeriya Mykhaylova<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/wfa.uwr.edu.pl\/lista-pracownikow\/?omegaId=UWR5045b6b4ee924c80ac96e0028ab0c92b\">prof. dr hab. Robert Olkiewicz<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/wfa.uwr.edu.pl\/lista-pracownikow\/?omegaId=UWR27e4dbc60dc340d2a8ed6a0a9e6be30b\">mgr Micha\u0142 Szyma\u0144ski<\/a><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">PhDs<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/wfa.uwr.edu.pl\/lista-pracownikow\/?omegaId=UWR67ec4c89922f4f588d28dbe3db7cd91f\">mgr Alicja Gronowska-Kowalska<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/wfa.uwr.edu.pl\/lista-pracownikow\/?omegaId=UWR09896a3345f2462586cd6cbd45d771c0\">mgr Piotr Kopszak<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/wfa.uwr.edu.pl\/lista-pracownikow\/?omegaId=UWRd4bbba4be16a4fbebed123b6ae6e592f\">mgr Rados\u0142aw Kowalski<\/a><\/li>\n\n\n\n<li>mgr Nazarii Sudak<\/li>\n<\/ul>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-ugb-container ugb-container bs-news-page-under ugb-f8694ce ugb-container--v2 ugb-container--design-plain ugb-main-block\"><div class=\"ugb-inner-block\"><div class=\"ugb-block-content\"><div class=\"ugb-container__wrapper ugb-f8694ce-wrapper\"><div class=\"ugb-container__side\"><div class=\"ugb-container__content-wrapper ugb-f8694ce-content-wrapper\">\n<h3 class=\"wp-block-heading\">Keywords<\/h3>\n\n\n\n<p>foundations of quantum mechanics<br>entanglement<br>open systems<br>decoherence<br>foundations of statistical mechanics<br>deformations of algebraic structures<br>Clifford algebras in electrodynamics<br>Riemann hypothesis and physics<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Research topics<\/h3>\n\n\n\n<p>Mathematical aspects of the classical and quantum theoretical physics, in particular: mathematical foundations of quantum mechanics and statistical mechanics; theory of open systems and decoherence; theory of quantum deformations; differential forms and Clifford algebras in classical electro-dynamics; relations between number theory and quantum physics.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Research subjects<\/h3>\n\n\n\n<p>Foundations of quantum mechanics: quantum logics, structure of lattices, causal structures and causal logics.<\/p>\n\n\n\n<p>Theory of entanglement and quantum information theory: entanglement of quantum states, measures of entanglement, evolution of entanglement in quantum systems.<\/p>\n\n\n\n<p>Theory of open systems: dynamic semigroups in quantum optics, decoherence, entanglement of open systems, diffusions on manifolds.<\/p>\n\n\n\n<p>Foundations of statistical mechanics: application of methods of functional analysis to precise studies of phase transitions in classical and quantum continuous systems.<\/p>\n\n\n\n<p>Theory of quantum deformations: deformations of classical algebraic structures and Lie algebras.<\/p>\n\n\n\n<p>Differential forms and Clifford algebras in classical electrodynamics: premetric formulation of classical electrodynamics.<\/p>\n\n\n\n<p>Studies on the relation between Riemann hypothesis and quantum mechanics (conjecture of Polya-Hilbert).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Grants<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Research subjects: \u201cTheory of entanglement\u201d and<\/li>\n\n\n\n<li>\u201cTheory of open systems\u201d are realized in the framework of Polish scientific network: Laboratory of Physical Foundations of information processing.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Top publications<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ph. Blanchard, R. Olkiewicz, \u201eDecoherence Induced Continous Pointer States\u201d, Phys. Rev. Lett. 90, 010493(2003).<\/li>\n\n\n\n<li>W. Ceg\u0142a, J. Florek, \u201eOrthomodular Lattices Generated by Graphs of Functions\u201d, Commun. Math. Phys. 259, 363(2005).<\/li>\n\n\n\n<li>\u0141. Derkacz, L. Jak\u00f3bczyk, \u201eQuantum Interference and Evolution of Entanglement in a System of Three-level Atoms\u201d, Phys. Rev. A 74, 032313(2006).<\/li>\n\n\n\n<li>\u0141. Derkacz, L. Jak\u00f3bczyk, \u201eEntanglement Versus Etropy for a Class of Mixed Two-Qutrit States\u201c,Phys. Rev. A 76, 042304(2007).<\/li>\n\n\n\n<li>M. Gorzela\u0144czyk, \u201ePositive Operators in Statistical Mechanics of Continuous Systems\u201d, J. Funct. Anal. 239, 683(2006).<\/li>\n\n\n\n<li>P. \u0141ugiewicz, R. Olkiewicz, \u201eClassical Properties of Infinite Quantum Systems\u201d, Commun. Math. Phys. 239, 241(2003).<\/li>\n\n\n\n<li>P. \u0141ugiewicz, B. Zegarli\u0144ski, \u201eCoercive Inequalities for Hoermander Type Generator in Infinite Dimensions\u201d, J. Funct. Anal. 247, 438(2007).<\/li>\n\n\n\n<li>M. Mozrzymas, \u201eTensor Operators and Wigner-Eckart Theorem for the Quantum Superalgebra<\/li>\n\n\n\n<li>Uq[osp(1| 2)]\u201d, J. Phys. A 37, 9515(2004).<\/li>\n\n\n\n<li>A. Odlyzko, M. Rubinstein, M. Wolf, \u201eJumping Champions\u201c, Experimental Mathematics, 8, 107(1999).<\/li>\n\n\n\n<li>R. Olkiewicz, B. Zegarli\u0144ski, \u201cHypercontractivity in Noncommutative Lp Spaces\u201d, J. Funct. Anal. 161, 246(1999).<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Collaboration<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Imperial College, London, Great Britain \u2013 B. Zegarli\u0144ski<\/li>\n\n\n\n<li>Uniwersity of Bielefeld, Germany \u2013 Ph. Blanchard<\/li>\n\n\n\n<li>Uniwersity of Gda\u0144sk, Poland \u2013 W.A. Majewski<\/li>\n\n\n\n<li>Wroc\u0142aw University of Economics, Poland \u2013 J. Florek<\/li>\n<\/ul>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n<\/div><\/div><\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Division of Mathematical Methods in Physics Staff PhDs Keywords foundations of quantum mechanicsentanglementopen systemsdecoherencefoundations of statistical mechanicsdeformations of algebraic structuresClifford algebras in electrodynamicsRiemann hypothesis and physics Research topics Mathematical aspects of the classical and quantum theoretical physics, in particular: mathematical foundations of quantum mechanics and statistical mechanics; theory of open systems and decoherence; theory of [&hellip;]<\/p>\n","protected":false},"author":7182,"featured_media":45591,"parent":83950,"menu_order":9,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"inline_featured_image":false,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center 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of Mathematical Methods in Physics Staff dr hab. Piotr \u0141ugiewicz, prof. UWr (Head of division) dr in\u017c. Artur Barasi\u0144ski dr Wojciech Ceg\u0142a\u00a0(retired employee) dr hab. Lech Jak\u00f3bczyk, prof. UWr\u00a0(retired employee) dr hab. Marek Mozrzymas, prof. UWr mgr Valeriya Mykhaylova prof. dr hab. Robert Olkiewicz mgr Micha\u0142 Szyma\u0144ski PhDs mgr Alicja Gronowska-Kowalska mgr Piotr Kopszak mgr Rados\u0142aw Kowalski mgr Nazarii Sudak Keywords foundations of quantum mechanicsentanglementopen systemsdecoherencefoundations of statistical mechanicsdeformations of algebraic structuresClifford algebras in electrodynamicsRiemann hypothesis and physics Research topics Mathematical aspects of the classical and quantum theoretical physics, in particular: mathematical foundations of quantum mechanics and statistical mechanics;&hellip;<\/p>\n","category_list_v2":"Uncategorized","author_info_v2":{"name":"kswistak","url":"https:\/\/wfa.uwr.edu.pl\/en\/author\/kswistak\/"},"comments_num_v2":"0 comments","acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Division of Mathematical Methods in Physics - Faculty of Physics and Astronomy<\/title>\n<meta name=\"description\" content=\"Wydzia\u0142 Fizyki i Astronomii\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wfa.uwr.edu.pl\/en\/institute-of-theoretical-physics\/division-of-mathematical-methods-in-physics\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Division of Mathematical Methods in Physics - 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